Solve (9.8/2/5)^2

$$( \frac { \frac { 9.8 } { 2 } } { 5 } ) ^ { 2 }$$

Evaluate

$$0.9604$$

Solution Steps

Express \frac{\frac{9.8}{2}}{5} as a single fraction.

$$\left(\frac{9.8}{2\times 5}\right)^{2}$$

Multiply 2 and 5 to get 10.

$$\left(\frac{9.8}{10}\right)^{2}$$

Expand \frac{9.8}{10} by multiplying both numerator and the denominator by 10.

$$\left(\frac{98}{100}\right)^{2}$$

Reduce the fraction \frac{98}{100} to lowest terms by extracting and canceling out 2.

$$\left(\frac{49}{50}\right)^{2}$$

Calculate \frac{49}{50} to the power of 2 and get \frac{2401}{2500}.

$$\frac{2401}{2500}$$

Factor

$$\frac{7 ^ {4}}{2 ^ {2} \cdot 5 ^ {4}} = 0.9604$$